1/8 = 12.5% as a percentage & 0.12 as a decimal. We teach our students all three as they are each part of understanding fraction conversions. To solve more coversions, we encourage you to check out our introduction to percentage page for a little recap of what percentage is. You can also learn about fractions in our fractions section of the website. Sometimes, you may want to express a fraction in the form of a percentage, or vice-versa. This page will cover the former case. Luckily for us, this problem only requires a bit of multiplication and division. We recommend that you use a calculator, but solving these problems by hand or in your head is possible too! Here’s how we discovered that 1 / 8 = 12.5% :
Convert 1 / 8 into a percentage or decimal
Fraction, Percentage, and Decimal Conversion Table
1 / 8 as a percentage 1 / 8 as a fraction 1 / 8 as a decimal 12.5% – Convert percentages 1 / 8 1 / 8 = 0.12
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How to convert 1/8 into a percentage (with explanation on how to solve for 12.5%)
Find the Denominator
A percentage is a number out of 100, so we need to make our denominator 100!
If the original denominator is 8, we need to solve for how we can make the denominator 100.
To convert this fraction, we would divide 100 by 8, which gives us 12.5.
Find the Numerator
Now, we multiply 12.5 by 1, our original numerator, which is equal to 12.5
Convert your Fraction to a Percent
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Remember, a percentage is any number out of 100. If we can balance 1 / 8 with a new denominator of 100, we can find the percentage of that fraction!
- Step 1: Divide 1 by 8 to get the number as a decimal. 1 / 8 = 0.12
- Step 2: Multiply 0.12 by 100. 0.12 times 100 = 12.5. That’s all there is to it!
Converting 1 and 8 additions to percentages
Adding fractions to percentages from 1 Adding fractions to percentages from 8 6/8 as a percentage 1/13 as a percentage 11/8 as a percentage 1/18 as a percentage 16/8 as a percentage 1/23 as a percentage 21/8 as a percentage 1/28 as a percentage 26/8 as a percentage 1/33 as a percentage 31/8 as a percentage 1/38 as a percentage 36/8 as a percentage 1/43 as a percentage 41/8 as a percentage 1/48 as a percentage 46/8 as a percentage 1/53 as a percentage 51/8 as a percentage 1/58 as a percentage 56/8 as a percentage 1/63 as a percentage 61/8 as a percentage 1/68 as a percentage 66/8 as a percentage 1/73 as a percentage 71/8 as a percentage 1/78 as a percentage 76/8 as a percentage 1/83 as a percentage 81/8 as a percentage 1/88 as a percentage 86/8 as a percentage 1/93 as a percentage 91/8 as a percentage 1/98 as a percentage 96/8 as a percentage 1/103 as a percentage 101/8 as a percentage 1/108 as a percentage
When are fractions useful?
Fractions are commonly used in everyday life. If you are splitting a bill or trying to score a test, you will often describe the problem using fractions. Sometimes, you may want to express the fraction as a percentage.
1 & 8 in other fractional forms: decimals
Adding from 8 to decimals Adding from 1 to decimals 6/8 as a decimal 1/13 as a decimal 11/8 as a decimal 1/18 as a decimal 16/8 as a decimal 1/23 as a decimal 21/8 as a decimal 1/28 as a decimal 26/8 as a decimal 1/33 as a decimal 31/8 as a decimal 1/38 as a decimal 36/8 as a decimal 1/43 as a decimal 41/8 as a decimal 1/48 as a decimal 46/8 as a decimal 1/53 as a decimal 51/8 as a decimal 1/58 as a decimal 56/8 as a decimal 1/63 as a decimal 61/8 as a decimal 1/68 as a decimal 66/8 as a decimal 1/73 as a decimal 71/8 as a decimal 1/78 as a decimal 76/8 as a decimal 1/83 as a decimal 81/8 as a decimal 1/88 as a decimal 86/8 as a decimal 1/93 as a decimal 91/8 as a decimal 1/98 as a decimal 96/8 as a decimal 1/103 as a decimal 101/8 as a decimal 1/108 as a decimal
Fractions between 1 and 8 to percentages
Understanding Fractions and Percentages
Fractions and percentages are both ways to represent a part of a whole as 1/8. A fraction consists of a numerator 1 (the top part) and a denominator 8 (the bottom part), with the numerator representing the part and the denominator representing the whole. In contrast, a percentage 12.5 represents a part out of 100. Converting between fractions and percentages can help us better understand and compare different quantities or proportions.
In this example, we have converted the fraction 1 / 8 into a percentage: 12.5%. This means that the fraction 1 / 8 is equivalent to 12.5 parts out of 100. It can be useful to know both the fraction and percentage forms when solving problems or interpreting data.
Real-World Applications of Fractions and Percentages
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Fractions and percentages are used in many real-world situations. For example, when calculating discounts on products, understanding both the fraction and percentage can help you quickly determine how much you will save. If a store offers a discount of 1/4 (1 / 4) off the original price, you can convert this fraction to a percentage (25%) to better understand the savings.
Another example could be in measuring ingredients for a recipe. If you know that you need 1/2 (1 / 2) of a cup of an ingredient, converting this fraction to a percentage (50%) can help you visualize how much you need relative to a full cup.
Tips for Converting Fractions to Percentages
When converting fractions to percentages, it’s essential to remember that percentages always have a denominator of 100. To convert a fraction like 1 / 8 into a percentage, you can follow these steps:
- Divide the numerator (1) by the denominator (8) to get the decimal equivalent.
- Multiply the decimal by 100 to get the percentage.
Keep in mind that you can also reverse these steps and still arrive at the correct solution. If you multiply the numerator (1) by 100 first and then divide the result by the denominator (8), you will still get the correct percentage (12.5%).
Help your students convert 1 / 8 through further understanding:
- What is the numerator of 1 / 8?
- What is the denominator of 1 / 8?
- When would you use 1 / 8 as a fraction? Give examples
- When would you use 1 / 8 as a decimal? Give examples
- When would you use 1 / 8 as a percentage? Give examples
- What are three other fractions that convert to 12.5%?
- Ask your students to think of three real life examples of when to use fractions vs percentages.
- Which fraction is larger: 1 / 8 or 117 / 89?
Subtracting from 8 to decimals Subtracting from 1 to decimals
Converting 1 & 8 in other fractional forms
Subtracting from 8 to decimals Subtracting from 1 to decimals
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